Nonlinear tube waves in permeable formations: Difference frequency generation
Yaroslav Tserkovnyak, David Linton Johnson
Abstract
We extend earlier work on nonlinear tube wave propagation in permeable formations to study, analytically and numerically, the generation and propagation of a difference frequency, Delta omega = omega1 - omega2, due to an initial pulse consisting of carrier frequencies omega1 and omega2. Tube waves in permeable formations have very significant linear dispersion/attenuation, which is specifically addressed here. We find that the difference frequency is predicted to be rather easily measurable with existing techniques and could yield useful information about formation nonlinear properties.
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